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Finding the Fourth Proportional to 597,616.94, 896,423.55 and 187,317.50

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Solution

The fourth proportional to 597,616.94, 896,423.55 and 187,317.50 is: 280,975.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    597,616.94 : 896,423.55 = 187,317.50 : x
  2. Step 2: Convert to fraction form
    597,616.94/896,423.55 = 187,317.50/x
  3. Step 3: Cross multiply
    597,616.94x = 896,423.55 × 187,317.50
  4. Step 4: Simplify right side
    597,616.94x = 167,915,818,327.13
  5. Step 5: Solve for x
    x = 167,915,818,327.13/597,616.94
  6. Step 6: Final answer
    x = 280,975.67

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.